10000110099967 has 8 divisors (see below), whose sum is σ = 10945896049760. Its totient is φ = 9079545108960.

The previous prime is 10000110099961. The next prime is 10000110099983. The reversal of 10000110099967 is 76999001100001.

It is a happy number.

10000110099967 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10000110099967 - 2²³ = 10000101711359 is a prime.

It is a super-2 number, since 2×10000110099967² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000110099961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6305238867 + ... + 6305240452.

It is an arithmetic number, because the mean of its divisors is an integer number (1368237006220).

Almost surely, 2^{10000110099967} is an apocalyptic number.

10000110099967 is a deficient number, since it is larger than the sum of its proper divisors (945785949793).

10000110099967 is a wasteful number, since it uses less digits than its factorization.

10000110099967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12610479393.

The product of its (nonzero) digits is 30618, while the sum is 43.

Adding to 10000110099967 its reverse (76999001100001), we get a palindrome (86999111199968).

The spelling of 10000110099967 in words is "ten trillion, one hundred ten million, ninety-nine thousand, nine hundred sixty-seven".